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Finding the Third Proportional to 129,655.69 and 191,499.19

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Solution

The third proportional to 129,655.69 and 191,499.19 is: 282,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,655.69 : 191,499.19 = 191,499.19 : x
  2. Step 2: Convert to fraction form
    129,655.69/191,499.19 = 191,499.19/x
  3. Step 3: Cross multiply
    129,655.69x = 191,499.19 × 191,499.19
  4. Step 4: Simplify right side
    129,655.69x = 36,671,938,813.16
  5. Step 5: Solve for x
    x = 36,671,938,813.16/129,655.69
  6. Step 6: Final answer
    x = 282,840.96

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.